New York City SHSAT 2017

If you need to find a common multiple of two integers, you can always multiply them. However, you can use prime factors to find ...

THE ORDER OF OPERATIONS You need to remember the order in which arithmetic operations must be performed. PEMDAS (or Please Excus ...

DIVISIBILITY RULES If you’ve forgotten—or never learned—divisibility rules, spend a little time with this chart. Even if you kno ...

FRACTIONS AND DECIMALS Generally, it’s a good idea to reduce fractions when solving math questions. To do this, simply cancel al ...

Compare and Because 16 is greater than 15, is greater than To convert a fraction to a decimal, divide the denominator into the n ...

vi. Convert the following fractions to decimals: Convert the following decimals to fractions: 0.15 = 0.64 = vii. ...

COMMON PERCENT EQUIVALENCIES Familiarity with the relationships among percents, decimals, and fractions can save you time on Tes ...

ROUNDING You might be asked to estimate or round off a number on the SHSAT. There are a few simple rules to rounding. Look at th ...

EXPONENTS AND ROOTS Exponents are the small raised numbers written to the right of a variable or number. They indicate the numbe ...

Learn to recognize perfect squares. To add or subtract radicals, make sure the numbers under the radical sign are the same. If t ...

Exercise viii. Simplify the following expressions. ...

SCIENTIFIC NOTATION The exponent of a power of 10 indicates how many zeros the number would contain if it were written out. For ...

PERCENTS Remember this formula: To find part, percent, or whole, plug the values you have into the equation and solve. FROM FRAC ...

Exercise SHORTCUT A handy shortcut: x% of y = y% of x. ix. Of the 64 cookies on the tray, 16 are chocolate chip. What percent ar ...

AVERAGE, MEDIAN, AND MODE Remember this formula: Average = Sum of the terms/Number of the terms. The average (arithmetic mean) o ...

RATIOS, PROPORTIONS, AND RATES Ratios can be expressed in two forms. The first form is If you have 15 dogs and 5 cats, the ratio ...

xiv. If it took Michael three hours to bike 48 miles, what was his average speed in miles per hour? ...

PROBABILITY An event is a collection or set of outcomes. For example, suppose that a die with faces numbered 1, 2, 3, 4, 5, and ...

STRANGE SYMBOLISM AND TERMINOLOGY Some math problems will be confusing because you’re unfamiliar with the math concept being tes ...

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